2 years ago

La suma de dos numeros es 45 si uno es el doble del otro ¿cuaqles son los numeros?

1 answer:

5 0

Quince y treinta son los dos números.

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lawyer [7]

The correct answer is B. 83

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Kay [80]

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Step-by-step explanation:

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Anika [276]

Feel free to ask any questions as to what I did

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Tpy6a [65]

Answer:

See below

Step-by-step explanation:

We shall prove that for all $n\in\mathbb{N},3|(4^n+5)$ . This tells us that 3 divides 4^n+5 with a remainder of zero.

If we let $n=1$ , then we have $4^{1}+5=9$ , and evidently, $9|3$ .

Assume that $4^n+5$ is divisible by $3$ for $n=k, k\in\mathbb{N}$ . Then, by this assumption, $3|(4^n+5)\Rightarrow4^k+5=3m,\: m\in\mathbb{Z}$ .

Now, let $n=k+1$ . Then:

$4^{k+1}+5=4^k\cdot4+5\\=4^k(3+1)+5\\=3\cdot4^k+4^k+5\\=3\cdot4^k+3m\\=3(4^k+m)$

Since $3|(4^k+m)$ , we may conclude, by the axiom of induction, that the property holds for all $n\in\mathbb{N}$ .

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2 years ago

Alexxandr [17]

X-7 is the rule. n is 21

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2 years ago